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Finding the Fourth Proportional to 12,896.96, 17,797.20 and 7,306.88

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Solution

The fourth proportional to 12,896.96, 17,797.20 and 7,306.88 is: 10,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.96 : 17,797.20 = 7,306.88 : x
  2. Step 2: Convert to fraction form
    12,896.96/17,797.20 = 7,306.88/x
  3. Step 3: Cross multiply
    12,896.96x = 17,797.20 × 7,306.88
  4. Step 4: Simplify right side
    12,896.96x = 130,042,004.74
  5. Step 5: Solve for x
    x = 130,042,004.74/12,896.96
  6. Step 6: Final answer
    x = 10,083.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.